What is the Least Common Multiple of 62412 and 62431?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 62412 and 62431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62412 and 62431, than apply into the LCM equation.

GCF(62412,62431) = 1
LCM(62412,62431) = ( 62412 × 62431) / 1
LCM(62412,62431) = 3896443572 / 1
LCM(62412,62431) = 3896443572

Least Common Multiple (LCM) of 62412 and 62431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62412 and 62431. First we will calculate the prime factors of 62412 and 62431.

Prime Factorization of 62412

Prime Factorization of 62431

Now multiplying the highest exponent prime factors to calculate the LCM of 62412 and 62431.

LCM(62412,62431) = 2² × 3¹ × 7¹ × 743¹ × 149¹ × 419¹
LCM(62412,62431) = 3896443572